Insensitive unification of gauge couplings with three vector-like families

The standard model extended by three vector-like families with masses of order 1 TeV – 100 TeV allows for unification of gauge couplings. The values of gauge couplings at the electroweak scale are highly insensitive to fundamental parameters. The grand unification scale is large enough to avoid the problem with fast proton decay. The electroweak minimum of the Higgs potential is stable.